Abstract
We express the index of the SpinC-Dirac operator on symplectic quotients of a Hamiltonian loop group manifold in terms of fixed point data. As an application we prove Verlinde formulas for the SpinC-quantization of moduli spaces of flat bundles over surfaces.
Citation
A. Alekseev . E. Meinrenken . C. Woodward . "The Verlinde formula as fixed point formulas." J. Symplectic Geom. 1 (1) 1 - 46, December, 2001.
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